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Finding the Fourth Proportional to 644,716.58, 965,745.86 and 377,667.54

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Solution

The fourth proportional to 644,716.58, 965,745.86 and 377,667.54 is: 565,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,716.58 : 965,745.86 = 377,667.54 : x
  2. Step 2: Convert to fraction form
    644,716.58/965,745.86 = 377,667.54/x
  3. Step 3: Cross multiply
    644,716.58x = 965,745.86 × 377,667.54
  4. Step 4: Simplify right side
    644,716.58x = 364,730,861,323.05
  5. Step 5: Solve for x
    x = 364,730,861,323.05/644,716.58
  6. Step 6: Final answer
    x = 565,722.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.